Advanced search
Publication Cover
Communications in Algebra Volume 39, 2011 - Issue 12
Submit an article Journal homepage
304
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

On the 2-Categories of Weak Distributive Laws

Gabriella Böhm Research Institute for Particle and Nuclear Physics, Budapest, Budapest, HungaryCorrespondence[email protected]
,
Stephen Lack School of Computing and Mathematics, University of Western Sydney, Penrith South DC NSW, Australia; Mathematics Department, Macquarie University, NSW, Australia
&
Ross Street Mathematics Department, Macquarie University, NSW, Australia
Pages 4567-4583 | Received 17 Sep 2010, Published online: 14 Dec 2011

REFERENCES

  • Beck , J. ( 1969 ). Distributive laws . In: Eckmann , B. , ed. Seminar on Triples and Categorical Homology Theory . Springer LNM 80:119–140 .
  • Böhm , G. (2000). Doi-Hopf modules over weak Hopf algebras. Comm. Algebra 28:4687–4698.
  • Böhm , G. ( 2010 ). The weak theory of monads . Adv. in Math. 225 : 1 – 32 .
  • Böhm , G. , Nill , F. , Szlachányi , K. ( 1999 ). Weak Hopf algebras I: Integral theory and C*-structure . J. Algebra 221 : 385 – 438 .
  • Brzeziński , T. ( 2002 ). The structure of corings. Induction functors, Maschke-type theorem, and Frobenius and Galois-type properties . Algebr. and Representat. Theory 5 : 389 – 410 .
  • Brzeziński , T. , Majid , S. ( 1998 ). Coalgebra bundles . Comm. Math. Phys. 191 : 467 – 492 .
  • Brzeziński , T. , Turner , R. B. , Wrightson , A. P. ( 2006 ). The structure of weak coalgebra-Galois extensions . Comm. Algebra 34 : 1489 – 1519 .
  • Caenepeel , S. , De Groot , E. ( 2000 ). Modules over weak entwining structures . In: Andruskiewitsch , N. , Ferrer Santos , W. R. , Schneider , H.-J. , eds. New Trends in Hopf Algebra Theory . Contemp. Math. 267. AMS Providence , pp. 4701 – 4735 .
  • Caenepeel , S. , De Groot , E. ( 2007 ). Galois theory for weak Hopf algebras . Rev. Roumaine Math. Pures Appl. 52 : 51 – 76 .
  • Kelly , G. M. , Street , R. ( 1974 ). Review of the elements of 2-categories . In: Kelly , G. M. , ed. Category Sem. Proc. Sydney 1972/1973 . Springer LNM 420 . pp. 75 – 103 .
  • Lack , S. Welcome to Weak World. Talk given at the conference CT2009 in Cape Town in July 2009, based on joint work with Böhm, G. and Street, R.
  • Power , J. , Watanabe , H. Combining a monad and a comonad . Theoret. Comput. Sci. 280 : 137 – 162 .
  • Street , R. ( 1972 ). The formal theory of monads . J. Pure and Applied Algebra 2 : 149 – 168 .
  • Street , R. ( 2009 ). Weak distributive laws . Theory and Applications of Categories 22 : 313 – 320 .
  • Communicated by H.-J. Schneider. Dedicated to Mia Cohen on the occasion of her retirement.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.